{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 插值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "设置 **`Numpy`** 浮点数显示格式："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "np.set_printoptions(precision=2, suppress=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从文本中读入数据，数据来自 http://kinetics.nist.gov/janaf/html/C-067.txt ，保存为结构体数组："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = np.genfromtxt(\"JANAF_CH4.txt\", \n",
    "                  delimiter=\"\\t\", # TAB 分隔\n",
    "                  skiprows=1,     # 忽略首行\n",
    "                  names=True,     # 读入属性\n",
    "                  missing_values=\"INFINITE\",  # 缺失值\n",
    "                  filling_values=np.inf)      # 填充缺失值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "显示部分数据："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\t0.0\n",
      "100.0\t33.258\n",
      "200.0\t33.473\n",
      "250.0\t34.216\n",
      "298.15\t35.639\n",
      "300.0\t35.708\n",
      "350.0\t37.874\n",
      "...\t...\n"
     ]
    }
   ],
   "source": [
    "for row in data[:7]:\n",
    "    print \"{}\\t{}\".format(row['TK'], row['Cp'])\n",
    "print \"...\\t...\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘图："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NdFXMukteEapdXrjFUhjjHTdx68SsfrjFYt0gu3p9LOMmbp2YtYaSQFUckqJodSq6alus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\nZmaWKwcWMzPLlQOLmZnl6n8BKYzjzfpoiFsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa0dc208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = plt.plot(data['TK'], data['Cp'], 'kx')\n",
    "t = plt.title(\"JANAF data for Methane $CH_4$\")\n",
    "a = plt.axis([0, 6000, 30, 120])\n",
    "x = plt.xlabel(\"Temperature (K)\")\n",
    "y = plt.ylabel(r\"$C_p$ ($\\frac{kJ}{kg K}$)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 插值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "假设我们要对这组数据进行插值。\n",
    "\n",
    "先导入一维插值函数 `interp1d`：\n",
    "\n",
    "    interp1d(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from scipy.interpolate import interp1d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ch4_cp = interp1d(data['TK'], data['Cp'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`interp1d` 的返回值可以像函数一样接受输入，并返回插值的结果。\n",
    "\n",
    "单个输入值，注意返回的是数组："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(39.565144000000004)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ch4_cp(382.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "输入数组，返回的是对应的数组："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 10.71,  36.71])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ch4_cp([32.2,323.2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "默认情况下，输入值要在插值允许的范围内，否则插值会报错："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "A value in x_new is above the interpolation range.",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-10-5d727af9aa33>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mch4_cp\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m8752\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32md:\\Miniconda\\lib\\site-packages\\scipy\\interpolate\\polyint.pyc\u001b[0m in \u001b[0;36m__call__\u001b[1;34m(self, x)\u001b[0m\n\u001b[0;32m     77\u001b[0m         \"\"\"\n\u001b[0;32m     78\u001b[0m         \u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mx_shape\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_prepare_x\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 79\u001b[1;33m         \u001b[0my\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_evaluate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     80\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_finish_y\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0my\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mx_shape\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     81\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32md:\\Miniconda\\lib\\site-packages\\scipy\\interpolate\\interpolate.pyc\u001b[0m in \u001b[0;36m_evaluate\u001b[1;34m(self, x_new)\u001b[0m\n\u001b[0;32m    496\u001b[0m         \u001b[1;31m#    The behavior is set by the bounds_error variable.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    497\u001b[0m         \u001b[0mx_new\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0masarray\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx_new\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 498\u001b[1;33m         \u001b[0mout_of_bounds\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_check_bounds\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx_new\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    499\u001b[0m         \u001b[0my_new\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_call\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mx_new\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    500\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0my_new\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m>\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32md:\\Miniconda\\lib\\site-packages\\scipy\\interpolate\\interpolate.pyc\u001b[0m in \u001b[0;36m_check_bounds\u001b[1;34m(self, x_new)\u001b[0m\n\u001b[0;32m    526\u001b[0m                 \"range.\")\n\u001b[0;32m    527\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbounds_error\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mabove_bounds\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0many\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 528\u001b[1;33m             raise ValueError(\"A value in x_new is above the interpolation \"\n\u001b[0m\u001b[0;32m    529\u001b[0m                 \"range.\")\n\u001b[0;32m    530\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mValueError\u001b[0m: A value in x_new is above the interpolation range."
     ]
    }
   ],
   "source": [
    "ch4_cp(8752)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "但我们可以通过参数设置允许超出范围的值存在："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ch4_cp = interp1d(data['TK'], data['Cp'], \n",
    "                  bounds_error=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "不过由于超出范围，所以插值的输出是非法值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(nan)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ch4_cp(8752)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以使用指定值替代这些非法值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ch4_cp = interp1d(data['TK'], data['Cp'], \n",
    "                  bounds_error=False, fill_value=-999.25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(-999.25)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ch4_cp(8752)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 线性插值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`interp1d` 默认的插值方法是线性，关于线性插值的定义，请参见：\n",
    "\n",
    "- 维基百科-线性插值： https://zh.wikipedia.org/wiki/%E7%BA%BF%E6%80%A7%E6%8F%92%E5%80%BC\n",
    "- 百度百科-线性插值： http://baike.baidu.com/view/4685624.htm\n",
    "\n",
    "其基本思想是，已知相邻两点 $x_1,x_2$ 对应的值 $y_1,y_2$ ，那么对于 $(x_1,x_2)$ 之间的某一点 $x$ ，线性插值对应的值 $y$ 满足：点 $(x,y)$ 在 $(x_1,y_1),(x_2,y_2)$ 所形成的线段上。\n",
    "\n",
    "应用线性插值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QX6N+hvBGBnTjDculNy/X2p4/PjnJ0UOHVizBPAKMT0y0/AxJ7al0qA9iCaOZ1QJ669at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\nSSViqEtSiRjqklQihroklcj/A8xgms4BB0nlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb861358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = np.arange(100,355,5)\n",
    "plt.plot(T, ch4_cp(T), \"+k\")\n",
    "p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "其中红色的圆点为原来的数据点，黑色的十字点为对应的插值点，可以明显看到，相邻的数据点的插值在一条直线上。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 多项式插值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们可以通过 `kind` 参数来调节使用的插值方法，来得到不同的结果：\n",
    "\n",
    "- `nearest` 最近邻插值\n",
    "- `zero` 0阶插值\n",
    "- `linear` 线性插值\n",
    "- `quadratic` 二次插值\n",
    "- `cubic` 三次插值\n",
    "- `4,5,6,7` 更高阶插值\n",
    "\n",
    "最近邻插值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb8612e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp_ch4 = interp1d(data['TK'], data['Cp'], kind=\"nearest\")\n",
    "p = plt.plot(T, cp_ch4(T), \"k+\")\n",
    "p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "0阶插值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb989f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp_ch4 = interp1d(data['TK'], data['Cp'], kind=\"zero\")\n",
    "p = plt.plot(T, cp_ch4(T), \"k+\")\n",
    "p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "二次插值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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k+Je+tGIJ5hFgbHx88fWS1sdQF9B+eLc7zLDRnslJrr3vvuWjX4Cbd+7kkN8yJHWNoT5E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\nqEtShRjqklQh/w+L/6C1jqXsbQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb995860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp_ch4 = interp1d(data['TK'], data['Cp'], kind=\"quadratic\")\n",
    "p = plt.plot(T, cp_ch4(T), \"k+\")\n",
    "p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "三次插值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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o6rz3Xpb1l/3fJPWqdKHuD9vg9Hve+zADfxR+uUhlYKjrDP24uLp8X7PZ5Jb9+5mbmWHz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb995a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp_ch4 = interp1d(data['TK'], data['Cp'], kind=\"cubic\")\n",
    "p = plt.plot(T, cp_ch4(T), \"k+\")\n",
    "p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "事实上，我们可以使用更高阶的多项式插值，只要将 `kind` 设为对应的数字即可："
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "四次多项式插值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9sCmhPswjXHptkEMkNyvwG40G1+/dy4GjR9nZtP74kSNcd//9HJ6eXg72Zo5kkdavdKGu\nswZ5Ft/r30nz891+8OA5gQ6wE7jh6FHesHcvL7r66speJJcGqXTlF53Vaaj1YvTQWqHe7R+C5m3z\ns7PnBPqS5wK/cOGFy3+gPBuXNmZgoV6HYYuD1OlIkI32ey/O7rcuLLTcvq3NdjDUpU4NLNTrMGxx\nkDoNuX4G/kprPd8PHn+85eNOj4wsv66kjbH8UjHrCca1An+mxReGLG1fbdtaz/fXTzzB8S98YdUS\nzCPA2Pj4utsuaXWbEuq+efunVd/24ux+5fN08olr/+Qk191//7mjX4BbJyY47Kc2qWcM9RrpReB3\n81qjo6Mcnp7mtqkp5ufm2LawwOmREcbGxzk8NbXqcEZJ3YnM7N+TR+Tb9+07Z5KJhkcZx71LVRYR\nZGZ0/fh+h3qy+DH70MTEmpNMJEmLNhrqA7n17k7gwNGj3GbtVJL6amD3U98JzM/NDerlJKmWBvol\nGZ1MMpEkdW+gob40yUSS1B8DC/XmSSaSpP5w9IsklUjphzS+bd8+xsbHucZJJpLUVulDvZ/PL0lV\nMxTj1CVJg9Ey1CPi/Ih4MCLmIuJYRNxSrH9nRHypWD8dEc8ZTHMlSa20DPXMfALYk5njwIuBPRFx\nFXBrZv5Ksf7jwGT/mzrclm5XK/tiif1wln3RO23LL5nZKBa3A1uBH2bmj5t2uRCY70PbKsWD9iz7\nYpH9cJZ90Tttb70bEVuALwLPBz6QmceK9e8G3gA0gJf1s5GSpM50cqZ+piizXAq8IiJ2F+vflpk7\ngb8F/qqfjZQkdWZdQxoj4ibgVGYeblq3E/jXzHzRKvs7nlGS1mkjQxpbll8iYgw4nZmPRcQocDVw\nc0S8IDO/Uez2WmC21w2TJK1fu5r6JcCdRV19C3BXZk5HxEcj4ueBp4BvAn/S53ZKkjrQ1xmlkqTB\n6npGaUR8KCJORsRDTeueERH/FhFfj4gjEbGjaduNEfFfEfG1iNi30YaXyRp9MRURJyJitvh5ddO2\nKvfFcyLi3oh4OCK+EhFvKtbX7tho0Re1OzZaTGSs43GxVl/05rjIzK5+gJcDu4CHmtbdCtxQLB8A\n3lMs/xIwB5wHXAZ8A9jS7WuX7WeNvpgE/myVfaveF88CxovlC4H/BH6xjsdGi76o67FxQfHfbcBn\ngavqeFy06IueHBddn6ln5r8Dj65Y/RrgzmL5TuC3i+XXAndn5pOZ+a2iUS/t9rXLZo2+AFjtQnHV\n++J7mTlXLP8E+Crws9Tw2GjRF1DPY2PlRMZHqeFxAWv2BfTguOj1Db0uzsyTxfJJ4OJi+dnAiab9\nTnD24K6ya4t75NzR9LGyNn0REZex+AnmQWp+bDT1xWeLVbU7NiJiS0TMsfj7vzczH6amx8UafQE9\nOC76dpfGXPzc0OoqbNWv0H4AuBwYB/4HeG+LfSvXFxFxIfBPwJ/m028rUbtjo+iLj7LYFz+hpsdG\nnjuRcc+K7bU5Llbpi9306LjodaifjIhnAUTEJcD3i/XfAZrv5Hhpsa6yMvP7WQA+yNmPS5Xvi4g4\nj8VAvyszP16sruWx0dQXf7fUF3U+NgAy80fAp4BfpabHxZKmvriyV8dFr0P9X4A3FstvZPEOjkvr\nfzcitkfE5cDPAZ/r8WuXSnGALnkdsDQyptJ9EREB3AEcy8z3N22q3bGxVl/U8diIiLGlckKcncg4\nSz2Pi1X7YumPW6H742IDV2/vBr4L/B/wbeAPgWcAnwa+DhwBdjTt/xcsFvi/BvzmZl997uXPKn3x\nR8CHgS8DX2LxQL24Jn1xFXCGxav1s8XPq+p4bKzRF6+u47EB/DKLNwacK/7fry/W1/G4WKsvenJc\nOPlIkirEr7OTpAox1CWpQgx1SaoQQ12SKsRQl6QKMdQlqUIMdUmqEENdkirk/wFRMdOvMWDKNgAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbe85278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp_ch4 = interp1d(data['TK'], data['Cp'], kind=4)\n",
    "p = plt.plot(T, cp_ch4(T), \"k+\")\n",
    "p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以参见：\n",
    "\n",
    "- 维基百科-多项式插值：https://zh.wikipedia.org/wiki/%E5%A4%9A%E9%A1%B9%E5%BC%8F%E6%8F%92%E5%80%BC\n",
    "- 百度百科-插值法：http://baike.baidu.com/view/754506.htm\n",
    "\n",
    "对于二维乃至更高维度的多项式插值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from scipy.interpolate import interp2d, interpnd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "其使用方法与一维类似。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### 径向基函数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于径向基函数，可以参阅：\n",
    "- 维基百科-Radial basis fucntion：https://en.wikipedia.org/wiki/Radial_basis_function\n",
    "\n",
    "径向基函数，简单来说就是点 $x$ 处的函数值只依赖于 $x$ 与某点 $c$ 的距离：\n",
    "\n",
    "$$\\Phi(x,c) = \\Phi(\\|x-c\\|)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x = np.linspace(-3,3,100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "常用的径向基（`RBF`）函数有：\n",
    "\n",
    "高斯函数："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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w5JNh4+ZWreCyy2InSi6Vhjy1Y0doxWzYEHZkadYsdiKR+jv8cHj88XBep1kz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\nwKmQi4gUOBVyEZEC9/8BloffFHVXiTcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa0dcb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.exp(-1 * x **2))\n",
    "t = plt.title(\"Gaussian\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`Multiquadric` 函数："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LTjbbLHZEpWXBAjj00LAfzuDBSuKlTIlcGqRnT1i0KAx8jhsHm24aO6LSsHhx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\nJJwSuYhIwv0/gG56R7Cwt98AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb9a6908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sqrt(1 + x **2))\n",
    "t = plt.title(\"Multiquadric\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`Inverse Multiquadric` 函数："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PhNtuC4sNieQ6dzjrrPDJc9AgfQItTyomBLUEZrv7XHdfAwwGTirrtaqYMe+t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\n9/9saTRo/aYs3AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbd3d438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, 1. / np.sqrt(1 + x **2))\n",
    "t = plt.title(\"Inverse Multiquadric\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 径向基函数插值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对于径向基函数，其插值的公式为：\n",
    "\n",
    "$$\n",
    "f(x) = \\sum_j n_j \\Phi(\\|x-x_j\\|)\n",
    "$$\n",
    "\n",
    "我们通过数据点 $x_j$ 来计算出 $n_j$ 的值，来计算 $x$ 处的插值结果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from scipy.interpolate.rbf import Rbf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用 `multiquadric` 核的："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QEYk6f5JXZR4REd/4F/xa0SMi4gt/gl8rekREfKNSj4hIklGpR0QkyajUIyKS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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbebf828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp_rbf = Rbf(data['TK'], data['Cp'], function = \"multiquadric\")\n",
    "plt.plot(data['TK'], data['Cp'], 'k+')\n",
    "p = plt.plot(data['TK'], cp_rbf(data['TK']), 'r-')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用 `gaussian` 核："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mnruBF8zsUkLDQKP69Z4EADO/ZeTKldC1KxucK1ksru+++2oEkIhIFeIWAJxz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\nwgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc576550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp_rbf = Rbf(data['TK'], data['Cp'], function = \"gaussian\")\n",
    "plt.plot(data['TK'], data['Cp'], 'k+')\n",
    "p = plt.plot(data['TK'], cp_rbf(data['TK']), 'r-')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用 `nverse_multiquadric` 核："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ERI6Bt8EvIiJR503wb9yoi7dERDyiGb+ISJJR8IuIJBkFv4hIklHwi4gkGQW/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\niCQZBb+ISJJR8IuIJJn/D8ptq7/3lHsDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa1c3240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp_rbf = Rbf(data['TK'], data['Cp'], function = \"inverse_multiquadric\")\n",
    "plt.plot(data['TK'], data['Cp'], 'k+')\n",
    "p = plt.plot(data['TK'], cp_rbf(data['TK']), 'r-')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "不同的 `RBF` 核的结果也不同。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 高维 `RBF` 插值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "三维数据点："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x, y = np.mgrid[-np.pi/2:np.pi/2:5j, -np.pi/2:np.pi/2:5j]\n",
    "z = np.cos(np.sqrt(x**2 + y**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x176b4da0>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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hbN261f76xRdfxNDQUOT9CAqL1ZBwiqxG5b+Lqi1qJ4zsS0rwqdVq9q5S5XIZ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\nIbFKEARBEARBqJb/D6nRM2cdX17QAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17697cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,6))\n",
    "ax = fig.gca(projection=\"3d\")\n",
    "ax.scatter(x,y,z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3维 `RBF` 插值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "zz = Rbf(x, y, z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x176e5c50>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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WHVHIsatzq66uLnn+FKKebiYKtX+33XYbt9xyCz5k6j6ICLk+SKQyggjTnsAa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gINL4JHUcN4OMqZjsgXB7UGBAW+gRIjI8c9T8GxBlB+GLjlRpwcgKx5F0zpIPAOnKoK+VtC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\nBAKBafl/CyJH4aoVOLIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x174b17b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xx, yy = np.mgrid[-np.pi/2:np.pi/2:50j, -np.pi/2:np.pi/2:50j]\n",
    "fig = plt.figure(figsize=(12,6))\n",
    "ax = fig.gca(projection=\"3d\")\n",
    "ax.plot_surface(xx,yy,zz(xx,yy),rstride=1, cstride=1, cmap=plt.cm.jet)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
